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Finding the Fourth Proportional to 341,010, 470,398.46 and 213,464.16

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Solution

The fourth proportional to 341,010, 470,398.46 and 213,464.16 is: 294,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,010 : 470,398.46 = 213,464.16 : x
  2. Step 2: Convert to fraction form
    341,010/470,398.46 = 213,464.16/x
  3. Step 3: Cross multiply
    341,010x = 470,398.46 × 213,464.16
  4. Step 4: Simplify right side
    341,010x = 100,413,212,129.19
  5. Step 5: Solve for x
    x = 100,413,212,129.19/341,010
  6. Step 6: Final answer
    x = 294,458.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.